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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: LSDA/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at LSDA/STO-3G
 hartrees
Energy at 0K-221.956267
Energy at 298.15K-221.961872
HF Energy-221.956267
Nuclear repulsion energy163.819780
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at LSDA/STO-3G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3439 3080 14.82      
2 A1 3276 2934 45.47      
3 A1 1759 1575 7.94      
4 A1 1459 1307 29.35      
5 A1 1361 1219 3.84      
6 A1 1309 1172 12.44      
7 A1 1043 934 1.56      
8 A1 904 810 9.02      
9 A2 1147 1027 0.00      
10 A2 871 780 0.00      
11 A2 544 487 0.00      
12 B1 3372 3019 27.08      
13 B1 998 894 2.98      
14 B1 791 709 8.29      
15 B1 315 282 38.11      
16 B2 3423 3065 2.49      
17 B2 1806 1618 1.83      
18 B2 1312 1174 1.14      
19 B2 1226 1098 8.75      
20 B2 1074 961 12.58      
21 B2 926 829 73.44      

Unscaled Zero Point Vibrational Energy (zpe) 16177.1 cm-1
Scaled (by 0.8955) Zero Point Vibrational Energy (zpe) 14486.6 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at LSDA/STO-3G
ABC
0.35768 0.28811 0.16486

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.243
N2 0.000 0.999 0.284
N3 0.000 -0.999 0.284
C4 0.000 0.735 -0.971
C5 0.000 -0.735 -0.971
H6 -0.916 0.000 1.875
H7 0.916 0.000 1.875
H8 0.000 1.498 -1.766
H9 0.000 -1.498 -1.766

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38451.38452.33302.33301.11331.11333.36103.3610
N21.38451.99831.28342.14082.09002.09002.11003.2312
N31.38451.99832.14081.28342.09002.09003.23122.1100
C42.33301.28342.14081.46933.07923.07921.10192.3701
C52.33302.14081.28341.46933.07923.07922.37011.1019
H61.11332.09002.09003.07923.07921.83294.04224.0422
H71.11332.09002.09003.07923.07921.83294.04224.0422
H83.36102.11003.23121.10192.37014.04224.04222.9969
H93.36103.23122.11002.37011.10194.04224.04222.9969

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 121.917 C1 N3 C5 121.917
N2 C1 N3 92.383 N2 C1 H6 113.145
N2 C1 H7 113.145 N2 C4 C5 101.892
N2 C4 H8 124.227 N3 C1 H6 113.145
N3 C1 H7 113.145 N3 C5 C4 101.892
N3 C5 H9 124.227 C4 C5 H9 133.881
C5 C4 H8 133.881 H6 C1 H7 110.807
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.059      
2 N -0.236      
3 N -0.236      
4 C -0.022      
5 C -0.022      
6 H 0.167      
7 H 0.167      
8 H 0.121      
9 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.058 0.058
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.807 0.000 0.000
y 0.000 -31.694 0.000
z 0.000 0.000 -20.819
Traceless
 xyz
x 0.449 0.000 0.000
y 0.000 -8.381 0.000
z 0.000 0.000 7.932
Polar
3z2-r215.864
x2-y25.887
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.607 0.000 0.000
y 0.000 2.677 0.000
z 0.000 0.000 5.147


<r2> (average value of r2) Å2
<r2> 77.920
(<r2>)1/2 8.827